**Lectures on Lipschitz Analysis**

by Juha Heinonen

2005**Number of pages**: 77

**Description**:

In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. From the table of contents: Introduction; Extension; Differentiability; Sobolev spaces; Whitney flat forms; Locally standard Lipschitz structures.

Download or read it online for free here:

**Download link**

(470KB, PDF)

## Similar books

**Notes on Measure and Integration**

by

**John Franks**-

**arXiv**

My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.

(

**5471**views)

**Introduction to Mathematical Analysis**

by

**B. Lafferriere, G. Lafferriere, N. Mau Nam**-

**Portland State University Library**

We provide students with a strong foundation in mathematical analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.

(

**7263**views)

**Orders of Infinity**

by

**G. H. Hardy**-

**Cambridge University Press**

The ideas of Du Bois-Reymond's 'Infinitarcalcul' are of great and growing importance in all branches of the theory of functions. The author brings the Infinitarcalcul up to date, stating explicitly and proving carefully a number of general theorems.

(

**8509**views)

**Elliptic Functions**

by

**Arthur Latham Baker**-

**John Wiley & Sons**

The author used only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.

(

**9831**views)